The problem of the Coulomb corrections to the two-boson correlation functions for the systems formed in ultra-relativistic heavy ion collisions is considered for large effective system volumes. The modification of the standard zero-distance correction (so called Gamow or Coulomb factor) has been proposed for such a kind of systems. For the 1r+1r+ and [(+[(+ correlation functions the analytical calculations of the Coulomb correction are compared with the exact numerical results
